Can a triangle with side lengths of 8, 15, and 17 be a right triangle?
2 answers:
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The centroid of a triangle divides the median of the triangle into 1 : 2
The measure of FQ is 18, while the measure of TQ is 6
Because point T is the centroid, then we have the following ratio
Where FT = 12.
Substitute 12 for FT in the above ratio
Express as fraction
Multiply both sides by 12
This gives
Divide 12 by 2
The measure of FQ is calculated using:
Substitute 12 for FT, and 6 for TQ
Add 12 and 6
Hence, the measure of FQ is 18, while the measure of TQ is 6
Read more about centroids at: